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Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control

Author

Listed:
  • Otkel, Madina
  • Ganesan, Soundararajan
  • Rajan, Rakkiyappan
  • Kashkynbayev, Ardak

Abstract

This paper proposes a novel time-dependent gain parameter-based sliding mode controller (SMC) to realize the finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks (Mem-SICNNs) having time-varying delays. In this regard, a new terminal sliding mode surface is designed and its reachability is analyzed. According to synchronization error analysis, the stability property of the desired error system is reached within finite-time/fixed-time range by proposing a unique time-dependent gain parameter-based SMC and choosing the appropriate Lyapunov functionals. Finally, a numerical example is approached by software simulation and manual calculation to estimate the settling-time of the finite-time/fixed-time synchronization criteria of the proposed Mem-SICNNs model.

Suggested Citation

  • Otkel, Madina & Ganesan, Soundararajan & Rajan, Rakkiyappan & Kashkynbayev, Ardak, 2024. "Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 252-263.
    • Handle: RePEc:eee:matcom:v:222:y:2024:i:c:p:252-263
    DOI: 10.1016/j.matcom.2023.08.024
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